I have almost NO experience with 4WD, so take this with a grain of salt.
PRE-LOAD, maybe that has some effect. When in 4WD, your driving the front drivetrain, that means the driveshaft out of the XFER case on is now applying torque to the wheels. Any slack in the system is taken up and everything is twisted with the drive/torque coming from the XFER case.
Shift out of 4WD and go into 2WD, the wheels spinning on the road now applies the torque to the rest of the drivetrain up to the XFER case. The PRE-LOAD is now reversed. All the slack in the system is taken up in the opposite direction as the torque is applied in the opposite direction.
There are a lot of gears and u-joints in the drivetrain to make some slack, I would think this would happen in a matter of a seconds. BUT, maybe not, thick oil, warm parts, LSD, may offer some resistance and the slack reverses slowly over 30 seconds are so. The PRE-LOAD can change the noise from gears and joints quite a bit.
The tire chirping in tight turn in Parking lots, I'd agree, check your U-Joints, they could bind some and be the cause. BUT, do you have a Limited Slip Differential (LSD)? That may also be part of it, extremly slow speed at extreme tight turns, the LSD may make more resistance than the tires and thus make the tires slip a bit.